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Nonlinear integrable optics (NIO) are a promising novel approach at improvingthe stability of high intensity beams. Implementations of NIO based onspecialized magnetic elements are being tested at the Integrable Optics TestAccelerator (IOTA) at Fermilab. One method of verifying proper implementationof these solutions is by measuring the analytic invariants predicted by theory.The initial measurements of nonlinear invariants were performed during IOTA runin 2019/20, however the covid-19 pandemic prevented the full-scale experimentalprogram from being completed. Several important improvements were implementedin IOTA for the 2022/23 run, including the operation at higher beam energy of150 MeV, improved optics control, and chromaticity correction. This reportpresents the results of improved measurements of nonlinear invariants.

Improved Measurements of Nonlinear Integrable Optics Invariants at IOTA